A357608 Numbers k such that k and k+1 are both in A357605.

76544, 104895, 126224, 165375, 170624, 174824, 201824, 245024, 257984, 271215, 273104, 316575, 338624, 387855, 447615, 469664, 477224, 540224, 618975, 633555, 641024, 659295, 705375, 752895, 770175, 842624, 843975, 862784, 870975, 893024, 913275, 957824, 1047375

Offset

1,1

Comments

Numbers k such that A162296(k) > 2*k and A162296(k+1) > 2*(k+1).

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

76544 is a term since 76544 and 76545 are both in A357605: A162296(76544) = 170688 > 2*76544 and A162296(76545) = 157248 > 2*76545.

Mathematica

q[n_] := Module[{f = FactorInteger[n], p, e}, p = f[[;; , 1]]; e = f[[;; , 2]]; Times @@ ((p^(e + 1) - 1)/(p - 1)) - Times @@ (p + 1) > 2*n]; Select[Range[2, 10^6], q[#] && q[#+1] &]

Crossrefs

Cf. A162296.

Subsequence of A013929, A096399 and A357605.

Similar sequences: A096399, A283418, A318167, A327635, A327942, A331412, A333951.

Sequence in context: A183744 A236709 A104327 * A046720 A258606 A152498

Adjacent sequences: A357605 A357606 A357607 * A357609 A357610 A357611

Keyword

nonn

Author

Amiram Eldar, Oct 06 2022

Status

approved